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Paul
August 7, 2018

Calculus I - Assignment Problems
 Limits Previous Chapter Next Chapter Applications of Derivatives Interpretation of the Derivative Previous Section Next Section Product and Quotient Rule

## Differentiation Formulas

For problems 1  20 find the derivative of the given function.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

For problems 21  26 determine where, if anywhere, the function is not changing.

21.

22.

23.

24.

25.

26.

27. Find the tangent line to  at .

28. Find the tangent line to  at .

29. Find the tangent line to  at .

30. The position of an object at any time t is given by

(a) Determine the velocity of the object at any time t.

(b) Does the object ever stop changing?

(c) When is the object moving to the right and when is the object moving to the left?

31. The position of an object at any time t is given by

(a) Determine the velocity of the object at any time t.

(b) Does the object ever stop changing?

(c) When is the object moving to the right and when is the object moving to the left?

32. Determine where the function  is increasing and decreasing.

33. Determine where the function  is increasing and decreasing.

34. Determine where the function  is increasing and decreasing.

35. Determine the percentage of the interval  on which   is increasing.

36. Determine the percentage of the interval  on which   is decreasing.

37. Is  increasing or decreasing more on the interval ?

38. Determine where, if anywhere, the tangent line to  is parallel to the line .

39. Determine where, if anywhere, the tangent line to  is perpendicular to the line .

40. Determine where, if anywhere, the tangent line to  is perpendicular to the line .

41. Determine where, if anywhere, the tangent line to  is parallel to the line .

 Interpretation of the Derivative Previous Section Next Section Product and Quotient Rule Limits Previous Chapter Next Chapter Applications of Derivatives

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